What is the asymptotes of f(x)=(3x^2-3x)/(x^2+x-12) ?

The asymptotes of f(x)=(3x^2-3x)/(x^2+x-12) is Vertical: x=-4,x=3,Horizontal: y=3

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asymptotes of f(x)=(3x^2-3x)/(x^2+x-12)

asymptotes

f (x) = \frac{3 x ^{2} - 3 x}{x ^{2} + x - 12}

Vertical : x = - 4, x = 3, Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} - 3 x}{x ^{2} + x - 12} : x = - 4, x = 3

Horizontal Asymptotes of

\frac{3 x ^{2} - 3 x}{x ^{2} + x - 12} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} - 3 x}{x ^{2} + x - 12} :

None

Vertical : x = - 4, x = 3, Horizontal : y = 3

f (x) = \frac{2 x - 13}{2 x - 6}

(- 4, 5), (4, - 2)

2 y = - 5 x + 5

f (x) = x^{3} + x^{2} - 3 x - 1

4 x + 3

What is the asymptotes of f(x)=(3x^2-3x)/(x^2+x-12) ?
The asymptotes of f(x)=(3x^2-3x)/(x^2+x-12) is Vertical: x=-4,x=3,Horizontal: y=3